Parametrische ordnungsreduktion mittels matrixinterpolation

Heiko Panzer; Jan Mohring; Rudy Eid; Boris Lohmann

doi:10.1524/auto.2010.0863

Parametrische ordnungsreduktion mittels matrixinterpolation

Translated title of the contribution: Parametric model order reduction by matrix interpolation

Heiko Panzer, Jan Mohring, Rudy Eid, Boris Lohmann

Chair of Automatic Control

Research output: Contribution to journal › Article › peer-review

200 Scopus citations

Abstract

In this paper, a new framework for model order reduction of LTI parametric systems is introduced. After generating and reducing several local original models in the parameter space, a parametric reduced-order model is calculated by interpolating the system matrices of the local reduced models. The main task is to find compatible system representations with optimal interpolation properties. Two approaches for this purpose are presented together with several numerical simulations.

Translated title of the contribution	Parametric model order reduction by matrix interpolation
Original language	German
Pages (from-to)	475-484
Number of pages	10
Journal	At-Automatisierungstechnik
Volume	58
Issue number	8
DOIs	https://doi.org/10.1524/auto.2010.0863
State	Published - Aug 2010

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10.1524/auto.2010.0863

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title = "Parametrische ordnungsreduktion mittels matrixinterpolation",

abstract = "In this paper, a new framework for model order reduction of LTI parametric systems is introduced. After generating and reducing several local original models in the parameter space, a parametric reduced-order model is calculated by interpolating the system matrices of the local reduced models. The main task is to find compatible system representations with optimal interpolation properties. Two approaches for this purpose are presented together with several numerical simulations.",

keywords = "Interpolation, LTI systems, Order reduction, Parametric model order reduction",

author = "Heiko Panzer and Jan Mohring and Rudy Eid and Boris Lohmann",

note = "Funding Information: This work has been partially supported by the EU-Project MRTN-CT-2006-03559 and the Cusanuswerk Scholarship Award Programme, which is gratefully acknowledged.",

year = "2010",

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volume = "58",

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AU - Panzer, Heiko

AU - Mohring, Jan

AU - Eid, Rudy

AU - Lohmann, Boris

N1 - Funding Information: This work has been partially supported by the EU-Project MRTN-CT-2006-03559 and the Cusanuswerk Scholarship Award Programme, which is gratefully acknowledged.

PY - 2010/8

Y1 - 2010/8

N2 - In this paper, a new framework for model order reduction of LTI parametric systems is introduced. After generating and reducing several local original models in the parameter space, a parametric reduced-order model is calculated by interpolating the system matrices of the local reduced models. The main task is to find compatible system representations with optimal interpolation properties. Two approaches for this purpose are presented together with several numerical simulations.

AB - In this paper, a new framework for model order reduction of LTI parametric systems is introduced. After generating and reducing several local original models in the parameter space, a parametric reduced-order model is calculated by interpolating the system matrices of the local reduced models. The main task is to find compatible system representations with optimal interpolation properties. Two approaches for this purpose are presented together with several numerical simulations.

KW - Interpolation

KW - LTI systems

KW - Order reduction

KW - Parametric model order reduction

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DO - 10.1524/auto.2010.0863

M3 - Artikel

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JO - At-Automatisierungstechnik

JF - At-Automatisierungstechnik

IS - 8

ER -

Parametrische ordnungsreduktion mittels matrixinterpolation

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